I'm not sure it is. Universal healthcare is orthogonal to private health insurance. That's the lesson of Switzerland's example. I don't believe this is commonly known or accepted in American politics. Instead, any attempt at reform is pitched and vilified as an attempt to end private health insurance and healthcare.
It may not be commonly known in the USA. However, I'm a european immigrant of 33 years, and it's well known to me.
However, "private health insurance" is not, in and of itself, really "a thing". Only "private health insurance plus a regulatory structure for it". It is in this department that the US falls over so badly, while, for example, Switzerland gets it (mostly) right.
I'm not sure it is. Universal healthcare is orthogonal to private health insurance. That's the lesson of Switzerland's example. I don't believe this is commonly known or accepted in American politics. Instead, any attempt at reform is pitched and vilified as an attempt to end private health insurance and healthcare.